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8090 [49]
3 years ago
10

For questions 7 and 8, combine like terms to create an equivalent expression 7) 7c +24 - 19 + 5c - 2c 8) 9f - 4f - 17 + 10 - 2f

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
6 0

Answer:

Step-by-step explanation:

7) 7c +24 - 19 + 5c - 2c

The unknown term is c. We would rearrange the expression such that all the terms containing c are together and simplified and all the constants are also to together. It becomes.

7c + 5c - 2c + 24 - 19

= 10c + 5

= 5(2 c + 1)

8) 9f - 4f - 17 + 10 - 2f

We would collect the like terms. Terms containing the unknown, f would be made to stand together while the constant will also be together. It becomes

9f - 4f - 2f - 17 + 10

3f - 7

liberstina [14]3 years ago
3 0

Answer:

Number 7= 11c+5

Number 8= 3f-7

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The length of a rectangle is 5 inches longer than the width. The rectangles perimeter is 66in. What’s the length and width?
uysha [10]

Answer:

Width is 14, Length is 19

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

The length of a rectangle is 5 inches longer than the width.

L = 5 + w

<u>Step 2:  Plug into the formula</u>

P = 2w + 2L

66 = 2w + 2(5 + w)

66 = 2w + 10 + 2w

66 = 4w + 10

<u>Step 3:  Solve for width</u>

4w + 10 = 66

4w + 10 - 10 = 66 - 10

4w / 4 = 56 / 4

w = 14

<u>Step 4:  Find the length</u>

L = 5 + w

L = 5 + 14

L = 19

Answer:  Width is 14, Length is 19

3 0
4 years ago
What is the trigonometric expression of sec^2x - 1 divided by sec^2x ??
labwork [276]
Hello : 
(sec²x - 1) / sec²x  = (sec²x / sec²x) -1/sec²x
                             = 1 -1/sec²x
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3 years ago
Grayson works in a department store selling clothing. He makes a guaranteed salary
MrRissso [65]

Step-by-step explanation:

a) $350 per week

20% commission on sales

For $925 in sales, commission is

20/100 × 925 = $185

Total earning = $350 + $185 = $535

b) For $x in sales, commission is

20/100 × x = 1/5 × x = x/5 or 0.2x

Total earnings = $350 + $ x/5 or $350 + $0.2x

4 0
3 years ago
Find the volume of a cylinder whose base has a radius of 3 and whose height is 12.5. Use pie = 3.14 and round to the nearest ten
navik [9.2K]
The volume for this cylinder is 353.43
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4 years ago
The sum of 2 numbers is 48 and their difference is 24​
Artemon [7]

Answer:

The numbers are 12 and 36

Step-by-step explanation:

x + y = 48

x - y = 24

Add y to both sides of the equation

x = 24 + y

Substitute new value for x into first equation

24 + y + y = 48

Add y's together

24 + 2y = 48

Subtract 24 from both sides of the equation

2y = 24

Divide both sides of the equation by 2

y = 12

48 - 12 = 36

The numbers are 12 and 36

Hope this helps :)

4 0
3 years ago
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